To evaluate the expression \( m - 3 \times n + 3 \) with \( m = 15 \) and \( n = 2 \), follow the order of operations:
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Substitute the values of \( m \) and \( n \) into the expression: \[ 15 - 3 \times 2 + 3 \]
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Perform the multiplication: \[ 15 - 6 + 3 \]
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Then, perform the addition and subtraction from left to right: \[ 15 - 6 = 9 \] \[ 9 + 3 = 12 \]
Thus, the value of the expression is \(\boxed{12}\).